Intelligent Music Teaching is
short textbook published by the University of Texas at Austin which
concisely outlines the main principles behind teaching music.
These can be primarily summarized as the ability to express precisely
what you are looking for from the student, continually assessing the
students' skill level, structuring lessons in short, incremental steps
toward the ultimate goal, and teaching in such a fashion that the
students learn to apply these skills to all pieces, not just the one
under consideration. Many of the principles in the book are
applicable in the teaching of any discipline, not just music, although
the organization of the lessons for non skill-based disciplines will be
substantially different.
The first principle is that music teachers are ultimately teaching
students how to play music beautifully. They are not teaching the
student to play a particular piece well, but to play all pieces well,
specifically this one. One implication is that learning to play
difficult pieces is not the important thing. ("Sloppy Paganini
doesn't win over beautiful Handel") This means that teaching to
students with differing skill levels is qualitatively the same--musical
beauty. Another important aspect of teaching beautiful expression
is precise descriptions. It is easy to describe how you want
students to play in terms of adjectives (e.g. "lyrically"), but
adjectives cannot convey to the student what you want them to do.
Instead, good music teachers communicate precisely what needs to be
done so that the student can understand what, physically, one must do
with the instrument in order to play with a certain quality (e.g.
"don't take a breath in the middle of the phrase", "crescendo through
the phrase", etc.).
From the perspective of teaching music, the most important aspect of
teaching is the lesson structure. Musical skills are learned
through repeatedly playing pieces beautifully; lessons must be
structured to facilitate this. The most important principle is
that students need to play correctly as much as possible; if they
spend much time playing incorrectly, they will reinforce bad
habits. So the lessons must be structured into small, incremental
pieces that build to the goal of the lesson. The teacher must
continually monitor the student's performance in order to assess their
current skill level and have the student perform tasks appropriate to
that level. If the student has difficulty with a task, the
teacher should jump back to a task that the teacher knows the student
can perform correctly and work forward from there (reinforcing correct
performance), rather than work backwards and reinforce poor performance.
Although this structure is very music-oriented, it comes from a
principle that is independent of music teaching: skillful
teachers continuously monitor their students to determine where they
are. This assessment is traditionally limited to tests, with the
result that teachers are sometimes surprised at students' poor
performance on the test. Duke argues that assessment should be
continuous, otherwise the students will not learn. (Thus, the
test results should not be surprising). He also argues that what
is tested should be the material that the teacher desires that the
students learn, not just some subset of the material covered in
class. The purpose of the class is to teach the skill, not the
content.
The nature of the tasks done during class is also important to
learning. Because the goal is to teach the skill, not merely the
content, the class should progress in small, incremental steps towards
the ultimate goal of that particular class. Each step should be a
subset of the ultimate goal; tasks that are not subsets of the
ultimate goal are distractions. However, each step needs to be
small, otherwise students are less likely to perform it correctly and
will thus practice incorrect performance. Since the teacher has
control over the tasks, the teacher effectively controls whether the
student "succeeds" (by assigning tasks that the teacher knows the
student can or cannot do). Clearly the tasks should be chosen in
an order that the student succeeds. However, the choice of tasks
is also used by skillful teachers to provide opportunities for
feedback. Empirically, skillful teachers give positive and
negative feedback frequently and about equally. They arrange for
these opportunities by their choice of tasks.
The prevailing wisdom is that only positive feedback should be offered,
to reinforce the students' confidence. This is incorrect for two
reasons. First, while it is usually desirable to avoid hurting
people's feelings in our relationships with friends, acquaintances, and
strangers, the teacher-student relationship is unlike our normal
relationships. In this relationship it is expected that teachers
will correct students when they are wrong, otherwise they will not be
able to learn. Second, avoiding negative feedback when everyone
(the student included) realizes that a performance was bad actually
emphasizes the mistake--it must be too bad to talk about.
Likewise, circuitously avoiding negative feedback, or complimenting
something irrelevant, also emphasizes the mistake, and makes the
student uncomfortable.
There are two side points that Duke makes that are worth noting
now. First, for each lesson, begin as if the students do not yet
have any knowledge of the subject. They have probably forgotten a
good deal of the previous lesson and this will help reinforce the
concepts. However, this does not mean that you cover the
identical material. So if the student is a beginning piano
student, the first lesson might be sitting up straight and not resting
the wrists on the piano. At the beginning of the second lesson,
instead of asking "ok, what is the correct posture?" and then
correcting the student when they fail, simply have them address the
piano, and then perhaps straighten their back or lift their wrists as
necessary. Then continue with the second lesson. This will
reinforce the concepts and give the student practice without making
them feel like a failure. Second, when designing the lesson (or
when modifying it as part of responding to the continuous monitoring of
the students), ask "will this topic help now?" Although it might
be interesting to learn that Beethoven was a Romantic composer and that
explains why "Für Elise" is so lyrical, it probably will not help
the beginning piano student learn to play lyrically. Hence it is
using up time that could be better used leading the student to play
"Für Elise" beautifully.
Even if everything has so far gone well, with the teacher monitoring
the student's skill level, assigning incrementally more difficult (in
terms of beauty, not necessarily technically) tasks, providing the
appropriate feedback, there is yet another important goal. The
goal of teaching is to teach the student a skill that they can apply in
the all situations where it is appropriate. Obviously these
situations cannot be exhaustively taught, so the student must be able
to transfer knowledge and skills to new situations. Some types of
transfer occur subconsciously through the development of good
habits; since the teacher is already teaching these, the student
should be able to transfer them. Other types of transfer happen
consciously, and these need to be taught. One obvious way would
be for teachers to expect and teach students to apply musical
techniques learned in previous pieces to knew pieces. Sometimes,
however, information necessary for transfer is not explicitly
taught. For instance, a trumpet is naturally somewhat out of tune
because the harmonics created by the changing lengths are not in the
equal-tone scale, so some valves are a little longer to attempt to
compensate. The teacher may not explicitly say this, but should
lead the student through tasks the demonstrate these effects, so that
the student develops an intuitive sense that will transfer to other
brass instruments.
Duke ends with a short essay on the importance of expectations.
He notes that expectations are everything, and that many teachers quit
within five years because they expected to be able to motivate
students, but discovered that they were unable to. The fact is
that students come with differing backgrounds and not all will be
willing or able to be motivated. Furthermore, external
circumstances such as how they are feeling at a given time will
influence how much they can be motivated. All these things are
out of the teacher's control. The teacher can provide an
atmosphere conducive to learning, but cannot cause learning, and it is
important that prospective teachers realize this before they begin
teaching.
This book is an excellent primer on principles of teaching, filled with
illustrative examples. Unfortunately for the non-music teacher,
these examples are often not something that can be immediately
used. So I would like to examine three examples of these
principles outside the field of music education. First is a
recent experience that I had in teaching some friends to canoe.
From my perspective, the important thing about canoing is the
J-stroke, where the steersman does a forward stroke and then twists the
paddle at the end of the stroke to act as a sort of rudder. The
first part will tend to turn the canoe one direction, while the second
part turns it the opposite direction, with the net result that the
canoe goes straight without having to switch sides all the time.
My teaching process was to introduce the basic strokes, then jump right
into the J-stroke, with the result that my student never got a feel for
what the two pieces of the stroke did, and would either over-rudder or
under-rudder (which was complicated by the fact that the person in
front had a stronger stroke and was unconsciously trying to
steer). The problem was that I did not incrementally teach the
skills. I should have had my student do each stroke several
times, then progress to sort of half-J-stroke by doing two forward
strokes and then a rudder, and only then putting them all together.
A second example of these principles at work in another discipline is
the format of the
math classes in my high school. The class generally started with
the
teacher assigning a number of students to present certain problems from
the previous day's homework on the blackboard. This is an example
of
how the teachers continuously monitored students' skill level:
each
day the teacher got a snapshot of how well five or six students
understood the previous day's material. Over the course of about
a
week this would give a snapshot of the entire class.
However, high-school mathematics is still largely a skill-based
discipline, and it is not obvious that these techniques transfer to
disciplines that are less obviously skill-driven than music. This
book was recommended to me by a music-teacher friend as applicable to
Sunday School teaching, a decidedly non-skill-based discipline.
There are two primary purposes of Sunday School: to educate
students about God, His character, and how we relate to Him and each
other; and to motivate students to (by His grace) practice God's
character. How do these teaching principles transfer to this,
much more knowledge-based, discipline?
Clearly the class can be taught in incremental steps. Applying
Duke's advice to begin as if the students knew nothing, the class
should start with a review by the teacher. At this point the
teacher may want to solicit thoughts from the students on the previous
week's topics (after the review, so as to set them up for success, in
the event that they do not immediately remember the last week).
The teacher should then motivate the topic for that day by presenting
the problem. Most likely this would be done by raising the
question in students' minds that the topic will answer, clarify, or
explain. This might be a good opportunity to assess the students'
knowledge by asking for their thoughts. There is the danger that
some students may already know the answer, but that is not a problem
because the class will present it in more detail than the student has
time to explain. The next activity, whether it is lecture or
discussion should lead to the answer to the question (or if the answer
does not exist, directions to search). Another opportunity for
feedback should be provided at the end of this section by soliciting
thoughts if the format is a lecture or by summarizing the discussion if
the discussion was done by separate groups. Specifying and
motivating the change in our behavior or thinking that should result
from the material should probably be a goal of this section, perhaps
the largest part. Finally, the conclusion should present the
question again, along with a statement of the solution, the motivation
to change, and the change that should be done.
This outline shows the teacher frequently assessing student's
absorption of the knowledge and their understanding of the change we
should have. It shows the teacher incrementally arriving at the
goal (understanding and/or change). If the students are not
understanding, the teacher can back up to a topic they do understand
and, by asking questions, find the area that they do not
understand. If a lecture format is used, the teacher should avoid
interesting topics that do not aid in understanding the material.
If the format is a discussion, the teacher needs to quickly redirect
tangents. Transfer skills can be built in the students by having
them examine (or perhaps identify themselves) various scenarios where
this knowledge is applicable.
Intelligent Music Teaching is
a well-written guide, not only to music teaching, but to teaching in
general. It presents the principles of teaching, as applied to
music, with well-reasoned arguments to support the principles, as well
as examples that illustrate both the principle and the application of
the principle. Although the discussion and examples are generally
music-specific, the examples are well-chosen, and with a little thought
(such as was demonstrated above) these principles should be
transferable to other disciplines. In fact, since the book
exclusively presents principles of teaching, even music-teachers will
need to apply these principles to their lesson. This is probably
not a unique perspective on teaching or even music-teaching, but (other
than a rather overly academic word choice) it is very clearly
presented, and could well be a book that lasts 100 years (if marketed
outside the University of Texas).
Review: 9.5
This is a very excellent book for music
teachers. It clearly states the goals of music teaching and how
to achieve them, complete with examples that effectively illustrate the
principles. The author is knowledgeable about areas other than
music, bringing in examples from other disciplines (including a
statistics equation!). I think that probably the most telling
aspect of the book's ability to teach how to teach is that I was able
to easily transfer the ideas applicable to two unrelated disciplines
(canoing and Sunday School teaching). Indeed, because of the
book, I can now give a name to why I do these book reviews: they
require me to tell (or, in a way, teach) the contents to whoever reads
it. Without an understanding of this nature, I cannot hope to
transfer the information to another area. In fact, my original
goal was to transfer the ideas of good fiction writing the novel I hope
to begin writing by 2022.
The writing is excessively academic (something this reviewer also
suffers from), but I certainly hope that this book is marketed outside
of the University of Texas because anyone studying to be a music
teacher will benefit from this book (as well as some non-music
teachers).
Literary comments
- Written in a reasonably conversational style, but word choice is
excessively academic (i.e. if the concept has a big word and a small
word, the big word is chosen, or to rephrase that the way the book
would, "The author consistently selects Latinate vocabulary instead of
using the vernacular.")
- Uses examples outside the discipline of music
- Concepts are well thought out and well argued, but kind of hidden
by the words
Notes
- Precision in Language and Thought
- "Learning is more than remembering. Learning requires
that the student apply the knowledge or skill or both in some
meaningful way." p 14.
- Excellence in any area is having a depth of knowledge of the
subject area and being able to discriminate what is important from what
is not (and doing it well).
- The adjectives that describe good teaching are not sufficient
to describe what actually happens; "caring" might consist of not
being a stickler for spelling to encourage students to write or it
might be insisting on correctness so that fundamentals are mastered.
- It is important to be precise in your language so that you can
express subtle distinctions.
- What to Teach
- The expressed goals of music education are generally something
like "be able to play the piece at tempo without stopping". The
result is that students feel that they know a piece when they
accomplish this goal, even though the more important skills of quality
(phrasing, dynamics, diction, etc.) are lacking.
- Spend time on the goals, not the means. It is,
ultimately, not important whether the student learns "Fur Elise", but
whether he learns to play beautifully.
- The aspects of quality can be achieved by any skill level,
from children to professionals. It's just that the professionals'
pieces are much more difficult than the children's.
- It is important to be able to describe in concrete actions what
makes quality is important. If you say "play more lyrically" the
goal is too vague. But "alide the notes together and make sure
each note is either crescendoing or decrescendoing throughout the
entire duration" is understandable.
- Assessment
- Good teachers have a with-it-ness such that they are always
assessing how their class is doing.
- Beginners tend to think that if they understand the
explanation, then they understand the material. But until they
can present the material themselves, they do not understand it (the
teacher's presentation already had the hard parts distilled into
clarity; now the students must create the clarity themselves)
- Assessment should be part of every class. (Author
suggests hearing one or two students' solo each class period, or maybe
in small ensembles)
- [This is probably one of the reasons my math teachers had us
present our homework problems at the blackboard, or random problems
during the class]
- Must call on students; the ones who volunteer are the
ones who feel confident or who want attention, not the ones that need
it or the ones who would do excellently but lack confidence
- Assessment drives content. If you can identify sonatas,
rondos, minuets, etc. it does not mean that you understand what form is.
- Tests tend to test knowledge but not application.
(Ex: class piano. Apparently playing scales well is
important to class piano. But the importance of scales is to
develop muscle movement so that one no longer thinks about the
notes. The student will not discover this until they practice
long after the test, but if this information is not communicated, they
will learn the scales for the test)
- If tests really measure ability to use the information and
skill in an unfamiliar setting, then teaching to the test is
appropriate, even desirable, because teaching to the test will be
mastering the material.
- Five principles of testing:
- [Gave example of guitar competence testing; includes
things like played correct chords, steady tempo, good posture, good
error recovery, smiling, signaling singers when to come in. All
are yes/no.]
- The students know what affects their grade
- The assessment is constant, because it measures skills, not
content
- [Is this applicable for disciplines such as mathematics or
physics where content and skill is interwoven?]
- The assessment focuses on skills applicable outside the
class: performing with and in front of others
- The items are weighted appropriately. Missing notes
only costs 1/20th of your grade.
- The skills are consistently required from the outset.
- One should never sacrifice skill mastery in order to cover
content. The skills are what counts and what the student will
remember.
- "Sloppy Paganini doesn't win over beautiful Handel." p
81
- If it is important for students to produce beautiful music
then students should be able to choose songs that fit their skill
level. This way all play beautifully and reinforce the habit,
rather than all of them playing a hard piece at varying levels
- This isn't lowering standards; the standard is
beauty, not difficulty
- Assessments should be frequent. Having just a midterm and
final creates a disincentive for errors, because errors are
costly. Yet errors are a natural part of learning. Plus,
this way the teacher (and the students) know how they will do on the
exam, before the exam happens.
- Sequencing instruction
- The teacher's choice of tasks determines whether the student
will succeed (the teacher can choose easy, challenging, or impossible
tasks)
- Six principles
- Start from scratch each day (guide the student through the
activities as if they had not learned them last time [but presumably a
little faster])
- The principles can be addressed after the student fails or
before the student tries, the latter of which facilitates student
success.
- [This might be a good purpose of reviewing the previous
class' material]
- Structure the tasks in small increments towards the overall
goal. Do not move on until the student has performed the task
correctly.
- Skipping approximations may be too much for the student
- Include only essential information
- If the teacher wants the student to play "delicately" there
are two options:
- Explain what delicately means, sounds like, and how to do
it. Have the student do it
- Tell the student one thing to do (play softer, more
detached, etc.), have the student do it. Tell the student another
thing to do, have the student do it. Etc. Explain what
delicate means
- The student may not understand what "delicate" sounds like
or physically how to accomplish it. The second method has the
student practice good technique and then explains the meaning.
The explanation in the first method is lost on the student because they
have no conception of what the words really mean.
- For more intellectual pursuits, this process is
accomplished by motivating the problem (e.g. why do we need standard
deviations--they are a measure of distance from the mean) and then
performing the skills, otherwise the skills are mere repetitions of an
algorithm, not applications of knowledge
- Each task should be an approximation of the end goal.
(ex. if you want to teach how to blow a trombone, have students blow on
the trombone, not into bread bags)
- Inch forward if the student is successful, leap backwards if
they are not.
- Do not go back incrementally to find the problem, because
that will cause the students to perform many tasks incorrectly.
Instead, go back to a spot where you know they can perform well (which
will reinforce correct performance) and inch forward. This
maximizes the number of correct performances while determining the
problem.
- Need multiple correct performances--at least as many correct
performances as there were incorrect.
- Feedback
- Feedback can come from anywhere, not just teachers.
(Other students in the class, parents, friends, the hot stove door,
etc.)
- The function of feedback is independent of its intent (the oven
door didn't intend to teach about burning your fingers, but you learned
it anyway)
- Feedback may function differently for different people (for
example, some may be motivated by a challenge, others may give up)
- The association between feedback and behavior need not be
consciously recognized in order to be effective.
- Ex. A poor trumpet player performs poorly whenever he
is asks to play alone. He gets negative feedback from his teacher
and little attention. But he learns that by making comedy with
his trumpet pieces he can get attention on demand (laughs from the
students, admonishments from the teacher).
- Expert teachers give about half positive and half negative
feedback.
- Negative feedback is not bad in teaching situations, because
the teacher has a different social relationship to the student than a
friend to a friend.
- Expert teachers choose tasks that they know the students will
succeed in and fail in, thus creating predictable opportunities for
both kinds of feedback.
- Avoiding negative feedback creates the impression that the
mistake is actually more significant than it really is. It's no
big deal to be wrong, but it seems that way if the teacher takes a
circuitous way of not saying it.
- It is probably not necessary for the student to play the entire
passage in order for the teacher to determine if the student is going
to perform adequately. So only have them play a small section of
it; this way you can give feedback more quickly (and you don't
reinforce bad habits)
- Transfer
- Transfer is when we apply something that we learned to a new
situation
- Transfer is not automatic.
- There is an idea that all knowledge is useful and that
learning one thing will help you learn another, but this is not the
case. It may help you,
but it might not.
- But students can learn to transfer.
- Teachers, being experts, have the depth of knowledge to
understand how everything relates to each other within the
fields; the students do not. Hence although the teachers
can see how each piece of knowledge has applicability, the students
will not, and may not ever, since they may never have the skill or
intent to become experts in the subject themselves.
- Two types of transfer
- Unconscious (through habits)
- Ex: posture, fingerings, scales, etc. If you
repeatedly practice good posture, then going to a new instrument you
will likely take that with you
- Conscious (through mindful reflection)
- Ex: You can either memorize that valve 1 on a trumpet
produces D, or you can know that it adds a certain length of tube to
produce harmonics, which unfortunately aren't quite in the tonal scale,
so the valve is a bit longer, but is still liable to be out of
tune. The second method gives you more information and is more
likely to cause you to suspect that other horns might have similar
properties.
- The student may not need to know this, but the teacher
needs to know it in order to arrange tasks such that the student will
experience all of these things (e.g. the out-of-tuneness)
- Effecting change
- There needs to be evaluable goals so that the teacher can gauge
how well the students are learning
- Change happens not only because of what the teacher says, but
of what the student does. Therefore, learning sessions consist of
cycles of instruction and student performance
- Three types of rehearsal modes:
- Verbal instruction is sufficient for the student to get it
right on the next try; teacher can continue
- Multiple verbal instructions and performances are required
- The student lacks the skill to do it, so the learning target
must be simplified (slower tempo, simpler notes, etc.). When this
target is achieved, then the original target can be attempted.
- The difference between novice teachers and experts is not what
they do, but when; these rehearsal cycles give the teacher the
ability to determine correct timing.
- A teaching life
- Most teachers do not quit teaching because of the money or
tediousness, but because they cannot motivate the students to learn
- The reality does not match the expectation (i.e. being able
to motivate students)
- You cannot change the good or bad backgrounds the students
have, or the fact that they may do random things (like ask unrelated
questions in the middle of the lecture).
- But you can change the activities that students do, and this is
what is most related to learning.
Copyright ©
2006 by Geoffrey Prewett